Y = Mx + B

Front

What does the equation y = Mx + B represent?

Back

It represents the slope-intercept form of a linear equation, where M is the slope and B is the y-intercept.

Front

In the equation y = Mx + B, what does M represent?

Back

M represents the slope of the line, indicating how much y changes for a unit change in x.

Front

In the equation y = Mx + B, what does B represent?

Back

B represents the y-intercept, which is the value of y when x is 0.

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates the rate of change; for example, in a cost equation, it shows how much the total cost increases with each additional item.

Front

If a gym charges a monthly fee and a per-visit fee, how would you express the total cost?

Back

Total cost can be expressed as y = (per-visit fee)x + (monthly fee).

Front

What is the equation for a pizza shop that charges $6 per pizza?

Back

The equation is y = 6x, where y is the total cost and x is the number of pizzas.

Front

How do you write an equation for a service that has a base fee and a variable fee?

Back

The equation is y = variable fee * x + base fee.

Front

What is the equation for a waitress earning $4 per hour plus tips?

Back

The equation is y = 4x + 125, where y is total earnings, x is hours worked.

Front

How do you determine the total cost of pizzas with toppings?

Back

The total cost is y = (cost per pizza)x + (cost per topping * number of toppings).

Front

What is the equation for a pizza shop charging $5.99 per pizza plus $0.25 for each topping?

Back

The equation is y = 0.25x + 5.99, where x is the number of toppings.